1. Consider the vectors ữ = (-1,–1), ở= (1,2) and w (3, a). (a) Find the resultant of ū and ū. (b) Find the values of a for which ữ is parallel or is perpendicular to w. (c) Calculate the angle between u and .

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: Consider the position vectors @ = 1î −3ĵ+2k and b = −1î÷2ĵ– 2 k. (i) Find the lengths of a and b.…

A: The question asks you to find several things related to the position vectors a and b:(i) Find the…

Q: 1. Consider the vectors ū = (-1, 2), ở = (2,3) and w = (a, 3). (a) Find the resultant of ū and i,…

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Q: QI. (a) For the vectorsu =(-3, 1, 2), v= (4, 0, -8) and w=(6, –1, - 4), calculate ( 2u – 7w)-(8v +…

A: The scalar product is also called dot product, due to the way it is denoted to distinguish from…

Q: Find two unit vectors parallel to v = -2i + 5j – 3k.

A: Given:- v=-2i +5j-3k  To find:- Two units vectors parallel to given vector v

Q: Find the angle e between the vectors. f(x) = 2x, 9(x) = 4x2, (f, 9) = radians

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Q: 2. Find the exact angle between vectors a = 3 î - j - 2k – 18 10 b = v – w, wherev = 2î + ĵ + 4kandŵ…

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Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: Consider vectors u = (4, 1) and V = (-1, 3). a. Find the linear combination W = 2u - 3v. b. Find the…

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Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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